I had a long stay in hospital about 3 years ago ... before I was admitted, I was asked if I would like to be visited by one of the hospital chaplins ... I declined, and wasn't bothered ... but if any nurse had been concerned enough to offer to pray for me, I wouldn't have objected ... at least no one could tell me I didn't have a prayer.
But I have to admit that, considering I had only a 50 -50 chance of making it through surgery, I did give some serious thought to asking for a priest.